Title :
Stability analysis of linearizing controllers for a class of perturbed nonlinear discrete-time systems
Author :
Cruz, César ; Alvarez, Joaquín
Author_Institution :
Dept. de Ingenieria Electrica, CINVESTAV-IPN, Mexico City, Mexico
fDate :
29 June-1 July 1994
Abstract :
A robustness analysis of a linearizing controller for nonlinear discrete-time systems is presented. The controller is designed for a fully linearizable nominal system, but it is applied to a system perturbed by a changing parameter vector. It is shown that if the closed-loop nominal system is asymptotically stable then the closed-loop perturbed system is also stable if some conditions on a perturbed term are satisfied. The results are applied to the chaotic Henon system regulated by a linearizing controller.
Keywords :
chaos; closed loop systems; discrete time systems; linearisation techniques; nonlinear control systems; stability; chaotic Henon system; closed-loop nominal system; closed-loop perturbed system; linearizing controllers; parameter vector; perturbed nonlinear discrete-time systems; robustness; stability analysis; Chaos; Control systems; Nonlinear control systems; Nonlinear systems; Robust control; Robust stability; Stability analysis; Sufficient conditions; Telecommunication control; Uncertainty;
Conference_Titel :
American Control Conference, 1994
Print_ISBN :
0-7803-1783-1
DOI :
10.1109/ACC.1994.751800
